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A093069
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Kynea numbers: (2^n+1)^2-2.
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2
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7, 23, 79, 287, 1087, 4223, 16639, 66047, 263167, 1050623, 4198399, 16785407, 67125247, 268468223, 1073807359, 4295098367, 17180131327, 68720001023, 274878955519, 1099513724927, 4398050705407, 17592194433023
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OFFSET
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0,1
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COMMENTS
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Difference between the smallest digitally balanced number with 2n+4 binary digits and the largest digitally balanced number with 2n+2 binary digits (see A031443): 7 = 9-2 = 1001-10, 23 = 35-12 = 100011-1100, 79 = 135-56 = 10000111-111000 etc - Juri-Stepan Gerasimov, Jun 01 2011
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LINKS
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Table of n, a(n) for n=0..21.
Eric Weisstein's World of Mathematics, Kynea Number
Index to sequences with linear recurrences with constant coefficients, signature (7,-14,8).
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FORMULA
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a(n)=4^n+2^(n+1)-1.
G.f. -x*(7-26*x+16*x^2) / ( (x-1)*(2*x-1)*(4*x-1) ). - R. J. Mathar, Jun 01 2011
a(n) = A092431(n+2)-A020522(n+1). - R. J. Mathar, Jun 01 2011
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MATHEMATICA
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lst={}; Do[k=4^n+2^(n+1)-1; (*Print[p]; *)AppendTo[lst, k], {n, 10^2}]; lst [From Vladimir Joseph Stephan Orlovsky, Aug 21 2008]
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CROSSREFS
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Sequence in context: A018886 A145842 A086908 * A003540 A063793 A217233
Adjacent sequences: A093066 A093067 A093068 * A093070 A093071 A093072
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KEYWORD
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easy,nonn
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AUTHOR
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Eric W. Weisstein, Mar 17, 2004
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STATUS
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approved
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